If the mean of the following data is 8 find the value of p ...

Question

If the mean of the following data is 8 find the value of p

Accepted Answer

The mean is the average or computed centre value of a group of numbers used to determine the central tendency of the data. The central tendency statistic is a single value that represents the entire set of data or distribution.

x	f	fi xi
3	6	18
5	8	40
7	15	105
9	p	9p
11	8	88
13	4	52
	Σ fi = 41 + p	Σ fi xi = 303 + 9p

It is given that

Mean = 8

We know that

Mean = Σ fi xi/ Σ fi

So we get

(303 + 9p)/ (41 + p) = 8

On further calculation

303 + 9p = 8 (41 + p)

So we get

303 + 9p = 328 + 8p

It can be written as

9p – 8p = 328 – 303

We get

p = 25

Therefore, the value of p is 25.

RS Aggarwal Solutions Class 9 Mathematics Solutions for Mean Median And Mode Of Ungrouped Data Exercise 18B in Chapter 18 - Mean Median And Mode Of Ungrouped Data